City Guilds Model Questions Vol1 2019 Engineering Question 44
Practice objective / multiple choice question 44 from the 2019 City Guilds Model Questions Vol1 Engineering examination.
A piece of equipment has a time‑dependent failure rate \(\lambda(t) = 0.01 + 0.002t\) (with \(t\) in years). After a preventive maintenance action the equipment is as good as new. The cost of each preventive maintenance is \(\$200\) and the cost incurred when a failure occurs is \(\$5000\). For a fixed inspection interval \(T\) (years) the expected cost per cycle is \(C(T) = 200 + 5000\bigl[1 - R(T)\bigr]\), where the reliability over the interval is \(R(T)=\exp\!\bigl[-\int_{0}^{T}\lambda(t)\,dt\bigr]\). The average cost per year is \(C(T)/T\). Determine the inspection interval \(T\) (in years) that minimises the average cost per year. Give your answer to one decimal place.
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About This Question
This is City Guilds Model Questions Vol1 2019 Engineering Question 44. It is one of the objective questions from the 2019 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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